The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations

Fan Yang, Qu Pu, Xiao-Xiao Li, Dun-Gang Li
2019 Mathematics  
In the essay, we consider an initial value question for a mixed initial-boundary value of time-fractional diffusion-wave equations. This matter is an ill-posed problem; the solution relies discontinuously on the measured information. The truncation regularization technique is used for restoring the initial value functions. The convergence estimations are given in a priori regularization parameter choice regulations and a posteriori regularization parameter choice regulations. Numerical examples
more » ... Numerical examples are given to demonstrate this is effective and practicable.
doi:10.3390/math7111007 fatcat:jlnm7dtddzayjp46escutq7y2m